Continuity of measures - Proofs | Measure Theory
We prove the properties of Continuity for measures: Continuity from below and continuity from above. ☕ Make a small donation on Ko-fi: https://ko-fi.com/problemathic 📚 Buy measure theory books: Folland - Real Analysis: https://amzn.to/3Qnjjme Wheeden Zygmund - Measure and Integral: https://amzn.to/3SuZYC7 Tao - An introduction to measure theory: https://amzn.to/47AS7aH Stein - Real Analysis: https://amzn.to/3QiEfdY 💸 Support us on Patreon, every dollar helps make this videos! / problemathic 👕 Buy great math t-shirts! https://problemathic.creator-spring.com/ 💥 Over 40k followers on Instagram, join us! / problemathicvideos 💬 Join our Discord server!! / discord 🖇️ https://linktr.ee/Problemathic Timestamps in this video: 0:00 Introduction. 0:46 Continuity from below: Explanation. 2:24 Proof: Continuity from below. 7:38 Continuity from above: Explanation. 9:23 Proof: Continuity from above. #maths #analysis #measuretheory
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